Results 1 to 10 of about 94 (82)

On quasi-Sasakian structure on a totally umbilical hypersurface of a six-dimensional Hermitian planar submanifold of Cayley algebra

Дифференциальная геометрия многообразий фигур, 2022
Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered.
G.A. Banaru
doaj   +3 more sources

Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite -Manifolds [PDF]

Journal of Mathematics, 2013
We study totally contact umbilical lightlike hypersurfaces of indefinite -manifolds and prove the nonexistence of totally contact umbilical lightlike hypersurface in indefinite -space form.
Rachna Rani, Rakesh Kumar, R. K. Nagaich
doaj   +2 more sources

LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS [PDF]

Communications of the Korean Mathematical Society, 2010
The author studies the geometry of lightlike real hypersurfaces of an indefinite Kähler manifold. The main result is a characterization theorem for lightlike real hypersurfaces \(M\) of an indefinite complex space form \(\overline M(c)\) such that the screen distribution is totally umbilic.
Dae-Ho Jin
exaly   +2 more sources

A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]

Czechoslovak Mathematical Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mayuko Kon
exaly   +3 more sources

A characterization of totally umbilical hypersurfaces of a space form by geodesic mapping [PDF]

Ukrainian Mathematical Journal, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Canfes, Elif Ozkara, Özdeğer, Abdülkadir   +1 more
exaly   +3 more sources

Totally Umbilical Hypersurfaces of Lorentzian Reducible Spaces

Journal of Geometric Analysis
Abstract We investigate totally umbilical hypersurfaces in Lorentzian reducible spaces, focusing on their classification and geometric properties. We explore conditions for the existence of proper totally umbilical hypersurfaces in a $$(n+1)$$ (
Giovanni Calvaruso, Lorenzo Pellegrino, Calvaruso Giovanni   +2 more
exaly   +2 more sources

A New Characterization of Totally Umbilical Hypersurfaces in de Sitter Space

Advances in Pure Mathematics, 2014
It is shown that a compact spacelike hypersurface which is contained in the chronological future (or past) of an equator of de Sitter space is a totally umbilical round sphere if the kth mean curvature function Hk is a linear combination of Hk+1,…, Hn. This is a new angle to characterize round spheres.
Linfen Cao, Guodong Xu, Zhaohui Dai
exaly   +3 more sources

Totally umbilical hypersurfaces of product spaces [PDF]

manuscripta mathematica, 2021
Given a Riemannian manifold $M,$ and an open interval $I\subset\mathbb{R},$ we characterize nontrivial totally umbilical hypersurfaces of the product $M\times I$ -- as well as of warped products $I\times_ωM$ -- as those which are local graphs built on isoparametric families of totally umbilical hypersurfaces of $M.$ By means of this characterization ...
Ronaldo F. de Lima, João Paulo dos Santos   +1 more
openaire   +2 more sources

A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds

Дифференциальная геометрия многообразий фигур, 2023
In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Her­mitian manifold.
M. B. Banaru
doaj   +1 more source

Pythagorean Isoparametric Hypersurfaces in Riemannian and Lorentzian Space Forms

Axioms, 2022
We introduce the notion of a Pythagorean hypersurface immersed into an n+1-dimensional pseudo-Riemannian space form of constant sectional curvature c∈−1,0,1.
Muhittin Evren Aydın, Adela Mihai, Cihan Özgür   +2 more
doaj   +1 more source